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Finding the Fourth Proportional to 2,675.63, 3,692.32 and 1,496.71

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Solution

The fourth proportional to 2,675.63, 3,692.32 and 1,496.71 is: 2,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.63 : 3,692.32 = 1,496.71 : x
  2. Step 2: Convert to fraction form
    2,675.63/3,692.32 = 1,496.71/x
  3. Step 3: Cross multiply
    2,675.63x = 3,692.32 × 1,496.71
  4. Step 4: Simplify right side
    2,675.63x = 5,526,324.78
  5. Step 5: Solve for x
    x = 5,526,324.78/2,675.63
  6. Step 6: Final answer
    x = 2,065.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.